Condsider a plane p given by the equation xyz1 consider a po

Condsider a plane p given by the equation x+y-z=1. consider a point P0=(1,1,1) in this plane and a point P=(1,0,-1) outside of the plane. find an equation of another plane p that contains P and is paraelle to p.

Solution

equation of plane parallel to x + y - z = 1 is : x + y -z = C now it contains point P = (1 ,0 ,-1) so, 1 + 0 -(-1) = C => C = 2 so ANSWER : x + y - z = 2
Condsider a plane p given by the equation x+y-z=1. consider a point P0=(1,1,1) in this plane and a point P=(1,0,-1) outside of the plane. find an equation of an

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